The utility model discloses a V/f-inverse droop micro-grid inverter power supply with hysteretic characteristics, which comprises a signal input module, a V/f-inverse droop hysteretic control module, a double-feedback decoupling PWM (pulse width modulation) control module, an output driving module and a VSC main circuit, wherein the signal input module respectively outputs first voltage signals and current signals outputted by the grid; the V/f-inverse droop hysteretic control module outputs frequency signals or active power signals and reactive power signals or second voltage signals to the double-feedback decoupling PWM control module after processing the received first voltage signals and the current signals; the double-feedback decoupling PWM control module carries out output; and when the VSC main circuit receives the driving signals, the externally input direct current is converted into alternating current to be output. The V/f- inverse droop micro-grid inverter power supply has the advantages that different threshold values and loop width are set for different power supplies, the false triggering possibly caused on a controller by normal fluctuation of a system can be effectively avoided, and the power supply is prevented from fluctuating and repeatedly changing in the range of a certain value.